Answer:
quotinet = 3x² - 2x - 2
remainder = 7
Step-by-step explanation:
12x³ - 2x² - 12x + 3
= 3x²(4x + 2) - 6x² - 2x² - 12x + 3
= 3x²(4x + 2) - 8x² - 12x + 3
= 3x²(4x + 2) - 2x(4x + 2) + 4x - 12x + 3
= 3x²(4x + 2) - 2x(4x + 2) - 8x + 3
= 3x²(4x + 2) - 2x(4x + 2) - 2(4x + 2) + 4 + 3
= 3x²(4x + 2) - 2x(4x + 2) - 2(4x + 2) + 7
= (4x + 2)(3x² - 2x - 2) + 7
so
quotinet = 3x² - 2x - 2
remainder = 7
Answer:
The number line is shown below.
Step-by-step explanation:
We need to represent number that is less than 3 on a number line.
Let x be numbers.
So, 
.
Now, we have a number which represents x<3. Here 3 is not included in the solution set, so there is an open circle on 3 and left side of 3 are in the solution set.
The number line is shown below.
The expression -4 (-11 + 4n) – 3(- 2n + 9) is equivalent to the expression 17 — 10n.
<h3>What is an equivalent expression?</h3>
The equivalent is the expressions that are in different forms but are equal to the same value.
The expression is given below.
⇒ -4 (-11 + 4n) – 3(- 2n + 9)
On simplifying, we have
⇒ 44 – 16n + 6n – 27
⇒ 17 — 10n
More about the equivalent link is given below.
brainly.com/question/889935
#SPJ1
Answer:
-2x + 10
Step-by-step explanation:
Step 1: Write expression
(5x + 2) - (7x - 8)
Step 2: Distribute negative
5x + 2 - 7x + 8
Step 3: Combine like terms
-2x + 10
I have attached the steps so good luck
